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Finding the Fourth Proportional to 297.40, 410.14 and 186.84

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Solution

The fourth proportional to 297.40, 410.14 and 186.84 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.40 : 410.14 = 186.84 : x
  2. Step 2: Convert to fraction form
    297.40/410.14 = 186.84/x
  3. Step 3: Cross multiply
    297.40x = 410.14 × 186.84
  4. Step 4: Simplify right side
    297.40x = 76,630.56
  5. Step 5: Solve for x
    x = 76,630.56/297.40
  6. Step 6: Final answer
    x = 257.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.